8 citations · 8 across the 4 of their papers we have counts for
5 papers
A Non-Existence Result for a Generalized Radial Brezis-Nirenberg Problem
Rafael D. Benguria, Soledad Benguria
We develop a new method for estimating the region of the spectral parameter of a generalized Brezis--Nirenberg problem for which there are no, non trivial, smooth solutions. This n…
An application of John ellipsoids to the Szego kernel on unbounded convex domains
Soledad Benguria
We use convex geometry tools, in particular John ellipsoids, to obtain a size estimate for the Szegő kernel on the boundary of a class of unbounded convex domains in $\mathbb{C}^n.…
An improved bound for the non-existence of radial solutions of the Brezis-Nirenberg problem in Hn
Rafael Benguria, Soledad Benguria
Using a Rellich-Pohozaev argument and Hardy's inequality, we derive an improved bound on the nonlinear eigenvalue for the non existence of radial solutions of a Brezis-Nirenberg pr…
The solution gap of the Brezis-Nirenberg problem on the hyperbolic space
Soledad Benguria
We consider the positive solutions of the nonlinear eigenvalue problem with and where is a geodesic bal…
The Brezis-Nirenberg problem for the Laplacian with a singular drift in and
Rafael D. Benguria, Soledad Benguria
We consider the Brezis--Nirenberg problem for the Laplacian with a singular drift for a (geodesic) ball in both and , . The singular d…